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There are a lot of algs out there, some of which do the same thing. I have grouped all the algs I use for people looking for efficient perms. I had to do this the hard way, looking through random pages for the fastest moves to make. Here they are:

Corner swap: R U R' F' R U R' U' R' F R2 U' R' (headlights on left face) Jb perm with U' at the end.

OR

Corner cycle 1: l' U R' D2 R U' R' D2 R2 (clockwise, corner FLU)

Corner cycle 2: l U' R D2 R' U R D2 R2 (clockwise, corner BLU)

(The cycles will not affect the permutation of the edges, but the swap will. So if all your edges are correct, and you need to permute the corners, use the cycles to keep the edges correct.)

All corners wrong: R2 U R’ U’ y (R U R’ U’)2 R U R’ y’ R U’ R2 (use this if edges are correct. Corners will swap (U viewed from above): Up Left with Up Right, Bottom Left with Bottom Right.

All corners wrong 2: F R U' R' U' R U R' F' R U R' U' R' F R F' this is a Y perm

Edge cycle 1: R2 U R U R’ U’ R’ U’ R’ U R’ (Clockwise, solved edge on B face)

Edge cycle 2: R U’ R U R U R U’ R’ U’ R2 (Anticlockwise, solved edge on B face)

Cross edge swap: M2 U M2 U2 M2 U M2

Adjacent edge swap 1:M2 U M2 U M' U2 M2 U2 M' U2 (swapping F edge with R edge)

Adjacent edge swap 2: M2 U’ M2 U’ M' U2 M2 U2 M' U2 (swapping F edge with L edge

Adjacent edge swap 1 v2: R' U' R2 U R U R' U' R U R U' R U' R' U2

Adjacent edge swap 2 v2: U2 R U R' U R' U' R' U R U' R' U' R2 U R

Please let me know if I made a mistake.

Also, I didn’t use names like H Perm and Ua perm to simplify stuff, but for you people out there with the names in your head, these algs are:

1.(I don't know what the corner swap PLL is named, since I originally had Aa and Ab, but whatever)

2. E Perm

3. Ua Perm

4. Ub Perm

5. H perm

6. Z Perms

Thanks to those people who contributed more, and better, algorithms to this thread. (One look algs at the bottom)

Corner swap: R U R' F' R U R' U' R' F R2 U' R' (headlights on left face) Jb perm with U' at the end.

OR

Corner cycle 1: l' U R' D2 R U' R' D2 R2 (clockwise, corner FLU)

Corner cycle 2: l U' R D2 R' U R D2 R2 (clockwise, corner BLU)

(The cycles will not affect the permutation of the edges, but the swap will. So if all your edges are correct, and you need to permute the corners, use the cycles to keep the edges correct.)

All corners wrong: R2 U R’ U’ y (R U R’ U’)2 R U R’ y’ R U’ R2 (use this if edges are correct. Corners will swap (U viewed from above): Up Left with Up Right, Bottom Left with Bottom Right.

All corners wrong 2: F R U' R' U' R U R' F' R U R' U' R' F R F' this is a Y perm

Edge cycle 1: R2 U R U R’ U’ R’ U’ R’ U R’ (Clockwise, solved edge on B face)

Edge cycle 2: R U’ R U R U R U’ R’ U’ R2 (Anticlockwise, solved edge on B face)

Cross edge swap: M2 U M2 U2 M2 U M2

Adjacent edge swap 1:M2 U M2 U M' U2 M2 U2 M' U2 (swapping F edge with R edge)

Adjacent edge swap 2: M2 U’ M2 U’ M' U2 M2 U2 M' U2 (swapping F edge with L edge

Adjacent edge swap 1 v2: R' U' R2 U R U R' U' R U R U' R U' R' U2

Adjacent edge swap 2 v2: U2 R U R' U R' U' R' U R U' R' U' R2 U R

Please let me know if I made a mistake.

Also, I didn’t use names like H Perm and Ua perm to simplify stuff, but for you people out there with the names in your head, these algs are:

1.(I don't know what the corner swap PLL is named, since I originally had Aa and Ab, but whatever)

2. E Perm

3. Ua Perm

4. Ub Perm

5. H perm

6. Z Perms

Thanks to those people who contributed more, and better, algorithms to this thread. (One look algs at the bottom)

Last edited: Aug 3, 2019